摘要
为改进噪信比的计算方法,利用系统相关函数的Z变换和逆Z变换关系,导出了系统噪信比的计算公式,它使得噪信比可以直接通过系统模型和噪声模型传递函数的复积分得到。同时,给出了这个复积分的递推计算式,避免了复积分留数的复杂运算,简化了用数字仿真确定噪信比的计算量。并将这一方法推广用于计算多变量系统的噪信比。数值例子说明给出方法是有效的。
In order to simplify the calculation of the noise to signal ratio, the computation formulas of the noise to signal ratio are derived by using the Z transform and inverse Z transform of the correlated functions of systems and are expressed as the complex integrals of the transfer functions of the system models and noise models, and the recursive formula of the complex integrals is given and avoids the difficulty of computing the residues of the complex integrals, which reduces the computation burden of digital simulations. Meanwhile, this method is extended to compute the noise to signal ratio of multivariable systems. The digital examples indicate that the computation formulas given are correct.
出处
《清华大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
1998年第9期107-110,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金
"八六三"高技术项目